Question

Sylvia is replacing a piece of siding on her house. To make the 12 ft. ladder

stable, the bottom of the ladder needs to be 6 ft. from the base of her house.
Applying the Pythagorean Theorem and rounding to the nearest tenth, how high
will the ladder reach so that Sylvia can replace the siding? (1 point)
○ 13.4 ft.
○ 180 ft.
○ 108 ft.
○ 10.4 ft.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Using the Pythagorean Theorem, we have:

a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = √108
b ≈ 10.4 ft.

Therefore, the ladder will reach approximately 10.4 ft. in height.

The answer is:
○ 10.4 ft.